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Finding the Fourth Proportional to 1,409.20, 2,112.51 and 542.86

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Solution

The fourth proportional to 1,409.20, 2,112.51 and 542.86 is: 813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.20 : 2,112.51 = 542.86 : x
  2. Step 2: Convert to fraction form
    1,409.20/2,112.51 = 542.86/x
  3. Step 3: Cross multiply
    1,409.20x = 2,112.51 × 542.86
  4. Step 4: Simplify right side
    1,409.20x = 1,146,797.18
  5. Step 5: Solve for x
    x = 1,146,797.18/1,409.20
  6. Step 6: Final answer
    x = 813.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.